Chapter 3.1, Problem 133AYU

(a)

To determine

To create: A table using graphing utility for the function $f\left(x\right)=\frac{1}{1-x}$ and $g\left(x\right)=1+x+x^2+x^3$.

(b)

To determine

To create: A table using graphing utility for the function $f\left(x\right)=\frac{1}{1-x}$ and $g\left(x\right)=1+x+x^2+x^3+x^4$.

(c)

To determine

To create: A table using graphing utility for the function $f\left(x\right)=\frac{1}{1-x}$ and $g\left(x\right)=1+x+x^2+x^3+x^4+x^5$.

(d)

To determine

The observation on the addition of more terms in the polynomial and comment of the value of x for better approximation of the polynomial.